of course.......you should list all the games without trophies and see what you should play....

No.
No trophies = No love from me.
I'm not playing my PS3 much... and if so, that's for some trophies.

I think earning trophies is a great addition for games. It really keeps you going, especially if you are trying to earn them. However, I usually play games that have multi-player online, like the CoD series. There aren't any trophies for this mode, that I know of.

I don't care about trophies at all.  I play to have an experience, to have fun, and in certain cases to get better and better at a game.  In some games I want records of what I've done, but that can be kills and online rankings and such.  Trophies don't matter to me.